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Well‐posedness and stability of mild solutions to neutral impulsive stochastic integro‐differential equations
Author(s) -
Luo Chaoliang,
Guo Shangjiang
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4663
Subject(s) - mathematics , resolvent , hilbert space , separable space , stability (learning theory) , mathematical analysis , class (philosophy) , operator (biology) , differential equation , space (punctuation) , computer science , biochemistry , chemistry , repressor , artificial intelligence , machine learning , transcription factor , gene , operating system
In this paper, we investigate the well‐posedness and stability of mild solutions for a class of neutral impulsive stochastic integro‐differential equations in a real separable Hilbert space. By the inequality technique combined with theory of resolvent operator, some sufficient conditions are established for the concerned problems. The obtained conclusions are completely new, which generalize and improve some existing results. An example is given to illustrate the effectiveness of our results.